data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Logan, Joseph, Harper, Henry, and Riley. \"(Henry is a villain and Logan is a hero) if and only if (if Riley is a hero then Henry is a hero),\" Logan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 588, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 0], [\... | {"split": "train", "index": 11700} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Abigail, Elizabeth, Victoria, Owen, and Joseph. Abigail was heard saying, \"(Owen is a sinner) and (if Elizabeth is a sinner then Victoria is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 589, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 2]]], [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"te... | {"split": "train", "index": 11701} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Alexander, Ethan, Avery, Aria, and Charlotte. According to Alexander, \"it is not the case that (Ethan is a devil and Avery is an angel and Charlotte i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 590, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]], ... | {"split": "train", "index": 11702} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Benjamin, Owen, Riley, Liam, and Sophia. Benjamin commented, \"(Owen is an angel or Benjamin is an angel or Liam is an angel) or (Benjamin is a devil) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 591, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"lying\", 3], [\... | {"split": "train", "index": 11703} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ella, Ethan, Evelyn, Abigail, and Benjamin. Ella was heard saying, \"(Ella is a hero if and only if Ethan is a villain) or (Ethan is a villain if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 592, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\... | {"split": "train", "index": 11704} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Chloe, Olivia, Matthew, David, and Mia. Chloe told you that (David is a saint if and only if Olivia is a sinner) or (if David is a saint then Matthew... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 593, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 0], [\"lying\", 3], [\"lying\", 4]... | {"split": "train", "index": 11705} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Henry, Victoria, Lucas, William, and Oliver. Henry said that (Lucas is a sage and Victoria is a fool) or (if Oliver is a sage then Oliver is a fool) or (Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 594, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]... | {"split": "train", "index": 11706} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Olivia, David, Harper, and Noah. According to Benjamin, \"it is not the case that (David is a knight)\". Olivia remarked, \"it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 595, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"telling-truth\", 0], [\"and\", [\"not\", [\"telling-truth\", 2]]... | {"split": "train", "index": 11707} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sofia, Lily, Emma, Noah, and Samuel. \"(Emma is an egoist if and only if Sofia is an altruist) if and only if Sofia is an altruist,\" Sofia dec... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 596, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 0]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"l... | {"split": "train", "index": 11708} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: James, Chloe, Matthew, Victoria, and Joseph. James was heard saying, \"Victoria is an angel\". Chloe was heard saying, \"if Victoria is an angel then M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 597, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", ... | {"split": "train", "index": 11709} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Amelia, Liam, Victoria, and Joseph. Emily asserted: \"Liam is a knight\". Amelia asserted: \"(Victoria is a knave and Joseph is a knight and A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 598, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", ... | {"split": "train", "index": 11710} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jacob, Isabella, James, Matthew, and Victoria. Jacob told you that (James is an angel or Matthew is an angel) if and only if (James is a devil and Isab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 599, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 2], ... | {"split": "train", "index": 11711} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Isabella, Aiden, Lily, Samuel, and Henry. In Isabella's words: \"Lily is an altruist\". Aiden expressed that (Samuel is an egoist if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 600, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"telling... | {"split": "train", "index": 11712} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ethan, Oliver, Sebastian, Benjamin, and Ella. Ethan noted, \"(Benjamin is an angel and Ethan is an angel and Ella is a devil and Oliver is an angel) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 601, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]],... | {"split": "train", "index": 11713} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Victoria, Samuel, Charlotte, Jacob, and Evelyn. According to Victoria, \"it is not the case that (Charlotte is a sage)\". Samuel asserted: \"(Victoria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 602, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", ... | {"split": "train", "index": 11714} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Charlotte, James, David, Owen, and Avery. \"if (Avery is a saint and James is a saint) then (David is a saint and Charlotte is a saint and James is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 603, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"lying\", 4], [... | {"split": "train", "index": 11715} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Evelyn, Joseph, Emma, Scarlett, and Abigail. As Evelyn put it, \"Scarlett is a hero\". Joseph said that (Emma is a villain and Evelyn is a villain an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 604, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 0], [\"lying\", 3]], [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling... | {"split": "train", "index": 11716} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Mia, Ella, Riley, and Evelyn. Sophia stated, \"(Evelyn is a knight or Evelyn is a knave) or Mia is a knight or (Evelyn is a knave)\". Mia was... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 605, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"telling-truth... | {"split": "train", "index": 11717} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sofia, Penelope, William, Olivia, and Chloe. Sofia told you that (Penelope is a sage and Olivia is a fool and Chloe is a fool) or (if Penelope is a sage th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 606, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"lying\", 3], [\"telli... | {"split": "train", "index": 11718} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Liam, Riley, Lily, David, and Olivia. Liam remarked, \"Lily is a sinner\". Riley noted, \"David is a saint and (Olivia is a sinner if and only if Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 607, \"statements\": [[\"lying\", 2], [\"and\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth... | {"split": "train", "index": 11719} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Isabella, Riley, Aiden, Lucas, and Luke. Isabella expressed that (Lucas is a laggard and Luke is a laggard and Isabella is a pioneer and Lucas ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 608, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 1]], [\"telling-truth\", 4], [\"not\", [\"... | {"split": "train", "index": 11720} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Emma, Olivia, Mia, Aurora, and Ella. Emma expressed that if (if Olivia is a sage then Aurora is a fool) then (if Aurora is a fool then Emma is a sage). In ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 609, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and... | {"split": "train", "index": 11721} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: William, Matthew, Owen, Jackson, and Emma. \"(Matthew is a laggard or Jackson is a pioneer or Owen is a laggard or Owen is a pioneer) and (if M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 610, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\... | {"split": "train", "index": 11722} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jack, Alexander, Grace, Liam, and Emily. Jack commented, \"if (if Liam is a devil then Alexander is an angel) then (Emily is a devil)\". Alexander expr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 611, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"or\", [\"lying\", 0], [\"lying\", 4]]], [\"->\"... | {"split": "train", "index": 11723} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Emma, Daniel, Aria, and Lucas. Olivia said that (if Daniel is a knight then Emma is a knave) if and only if (Daniel is a knave and Olivia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 612, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\... | {"split": "train", "index": 11724} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Chloe, Charlotte, Penelope, and Ava. Owen was heard saying, \"Owen is a knight\". Chloe stated, \"(Penelope is a knight and Charlotte is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 613, \"statements\": [[\"telling-truth\", 0], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", ... | {"split": "train", "index": 11725} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Samuel, James, Joseph, Grace, and Henry. Samuel told you that it is not the case that (James is a hero if and only if Henry is a villain). James told... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 614, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"telling-truth\", 3], [\"or\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 4]... | {"split": "train", "index": 11726} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aurora, Jackson, Amelia, Liam, and Grace. According to Aurora, \"Amelia is an angel\". \"(Liam is an angel) or Aurora is a devil,\" Jackson declared. A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 615, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"not\", [\"lying\", 3]], [\"lying\", 0]], [\"telling-truth\", 1], [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\", 2]], [\"or\", [\"... | {"split": "train", "index": 11727} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Lucas, Victoria, Amelia, Aurora, and Abigail. \"(Amelia is a sinner if and only if Victoria is a sinner) and (Aurora is a saint if and only if Victor... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 616, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 1]]], [\"or... | {"split": "train", "index": 11728} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Liam, Aria, Lucas, Ella, and Ethan. \"(Lucas is a fool and Ethan is a sage and Ella is a sage and Ethan is a fool) if and only if (Ella is a sage),\" Liam ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 617, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"te... | {"split": "train", "index": 11729} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Penelope, Sebastian, Sofia, Amelia, and Luke. Penelope said, \"Luke is a villain.\" \"Luke is a villain if and only if (Penelope is a villain)\" - Se... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 618, \"statements\": [[\"lying\", 4], [\"<=>\", [\"lying\", 4], [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 1], [\"or\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1]... | {"split": "train", "index": 11730} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Abigail, Evelyn, David, Sophia, and Aurora. Abigail was heard saying, \"if (if Evelyn is a devil then Evelyn is an angel) then (if Evelyn is a devil th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 619, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"telling-truth\", 3], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0]], [\"and\", [... | {"split": "train", "index": 11731} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sebastian, Michael, Evelyn, Ava, and Daniel. In a statement by Sebastian: \"(Evelyn is a devil) if and only if (Daniel is an angel or Sebastian is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 620, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"telling-truth\", 1]], [\"->\", [\"lying\", 0],... | {"split": "train", "index": 11732} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sebastian, Joseph, Evelyn, Ethan, and Mason. Sebastian said that (Joseph is a fool) or (Ethan is a sage if and only if Evelyn is a sage). Joseph expressed ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 621, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 3], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2], [\"lying\", 1]], ... | {"split": "train", "index": 11733} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jacob, Penelope, Ethan, Lucas, and Daniel. \"Ethan is a laggard,\" Jacob claimed. Penelope said that if (Daniel is a laggard or Lucas is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 622, \"statements\": [[\"lying\", 2], [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"or\"... | {"split": "train", "index": 11734} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Chloe, Samuel, Amelia, and Elizabeth. In Aria's words: \"Elizabeth is a knight\". Chloe expressed that (Amelia is a knight or Elizabeth is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 623, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"telling-truth\", 1]], [\"tellin... | {"split": "train", "index": 11735} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Amelia, Jacob, Chloe, Daniel, and Henry. Amelia stated, \"it is not the case that (if Chloe is a saint then Chloe is a sinner)\". \"Amelia is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 624, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"lying\", 0], [\"telling-truth\", 0], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"telling-truth\", 2]], [\"and\", [\"->\", [\"lyi... | {"split": "train", "index": 11736} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Benjamin, Alexander, Emily, Elizabeth, and Mason. Benjamin asserted: \"if (Elizabeth is a pioneer) then (Mason is a laggard or Emily is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 625, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"telli... | {"split": "train", "index": 11737} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Owen, Ella, Samuel, Olivia, and Noah. \"(if Olivia is a hero then Samuel is a villain) and (Ella is a hero and Owen is a hero and Olivia is a hero an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 626, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", ... | {"split": "train", "index": 11738} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aria, Penelope, Oliver, Evelyn, and Olivia. \"Olivia is a laggard\" - Aria. Penelope told you that (if Penelope is a pioneer then Oliver is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 627, \"statements\": [[\"lying\", 4], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"lying\", 0], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 0], [\"telling-truth\", 3], [\"telling-... | {"split": "train", "index": 11739} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Matthew, Zoey, Grace, and Michael. In Elizabeth's words: \"if (Zoey is a knight or Matthew is a knight or Elizabeth is a knight or Grace i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 628, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 4], [\"->\", [\"... | {"split": "train", "index": 11740} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Logan, William, Victoria, Oliver, and Michael. Logan stated, \"if (Oliver is a devil) then (if Victoria is a devil then Michael is a devil)\". William ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 629, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 0]], [\"<=>\... | {"split": "train", "index": 11741} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Mia, Harper, Amelia, and James. Alexander said that (Harper is a knight if and only if Harper is a knave) and (James is a knave if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 630, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"lying\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\"... | {"split": "train", "index": 11742} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ella, Alexander, Charlotte, Jackson, and Zoey. \"if Zoey is a saint then (Zoey is a sinner),\" Ella mentioned. \"(Zoey is a sinner or Zoey is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 631, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 3], [\"tellin... | {"split": "train", "index": 11743} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aria, Avery, Olivia, Victoria, and Liam. Aria told you that (Aria is a saint if and only if Liam is a sinner) and (Avery is a sinner or Victoria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 632, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-trut... | {"split": "train", "index": 11744} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Zoey, Ava, Chloe, Benjamin, and Noah. In Zoey's words: \"Ava is a villain\". Ava commented, \"(Chloe is a villain or Benjamin is a villain or Chloe i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 633, \"statements\": [[\"lying\", 1], [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-t... | {"split": "train", "index": 11745} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Logan, Lily, Isabella, Amelia, and Olivia. Logan stated, \"if (Amelia is a fool and Lily is a sage) then (Amelia is a fool if and only if Logan is a sage)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 634, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]... | {"split": "train", "index": 11746} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ethan, Harper, Jack, Avery, and William. \"William is a villain and Jack is a hero\" - Ethan. In a statement by Harper: \"(Ethan is a hero if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 635, \"statements\": [[\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], ... | {"split": "train", "index": 11747} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Penelope, Harper, William, Matthew, and Alexander. Penelope was heard saying, \"(Alexander is an egoist and Alexander is an altruist) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 636, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"lyi... | {"split": "train", "index": 11748} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Scarlett, Olivia, Jacob, Michael, and Abigail. Scarlett remarked, \"Michael is a villain\". In a statement by Olivia: \"Jacob is a hero and (Scarlett... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 637, \"statements\": [[\"lying\", 3], [\"and\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"lying\", ... | {"split": "train", "index": 11749} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: James, Joseph, Aurora, Abigail, and Sebastian. James stated, \"Joseph is an egoist\". According to Joseph, \"(Abigail is an altruist if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 638, \"statements\": [[\"lying\", 1], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 0]]], [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"lying\", 2], [\"n... | {"split": "train", "index": 11750} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Luke, David, Zoey, Michael, and Mia. \"if (if Zoey is a sage then David is a sage) then (David is a fool)\" - Luke. \"it is not the case that (if Michael i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 639, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"telling-truth\", 0], [\"lying\", 4], [\"<=>\"... | {"split": "train", "index": 11751} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Emily, Mia, Aurora, Sophia, and Ella. Emily said, \"Mia is a saint.\" According to Mia, \"(Emily is a saint and Aurora is a sinner) if and only if (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 640, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 0], [\"telling-tr... | {"split": "train", "index": 11752} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aria, Sophia, Owen, Isabella, and David. Aria said that (if Sophia is an egoist then Isabella is an egoist) and Sophia is an altruist and (Davi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 641, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"tel... | {"split": "train", "index": 11753} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Victoria, Sebastian, Matthew, Charlotte, and Jack. As Victoria put it, \"it is not the case that (Matthew is a hero and Jack is a villain)\". Accordi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 642, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-... | {"split": "train", "index": 11754} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Benjamin, Liam, Amelia, and William. Sofia noted, \"(Benjamin is a knave if and only if William is a knight) and (if William is a knight then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 643, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], [\"not\", [\"lying\", 4]]... | {"split": "train", "index": 11755} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Charlotte, Emma, Lily, Scarlett, and David. Charlotte commented, \"(Lily is a hero if and only if Scarlett is a villain) and (Charlotte is a hero and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 644, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 1]], [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 0], [\"lying\",... | {"split": "train", "index": 11756} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Luke, Charlotte, Chloe, Aria, and Emily. Luke remarked, \"(Emily is a pioneer or Luke is a pioneer or Emily is a laggard or Charlotte is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 645, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 1]], [\"lying\", 4]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 4], [\"t... | {"split": "train", "index": 11757} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Owen, Emily, Michael, and Mia. In a statement by Oliver: \"(Michael is a knave if and only if Emily is a knight) if and only if Owen is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 646, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"lying\", 1]], [\"telling-truth\", 4], [\"lying\", 0], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 2]], [\"... | {"split": "train", "index": 11758} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Riley, Penelope, Henry, Mason, and Samuel. Riley expressed that (Penelope is a hero if and only if Henry is a villain) if and only if (Henry is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 647, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", ... | {"split": "train", "index": 11759} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Henry, Jackson, Charlotte, Logan, and Aiden. Henry said that Logan is a laggard. \"it is not the case that (Charlotte is a laggard),\" Jackson ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 648, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", ... | {"split": "train", "index": 11760} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, James, Ava, Samuel, and Emma. \"(Ava is a knave and Samuel is a knave and Samuel is a knight) if and only if (James is a knight or Ava is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 649, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 2]]], [\"telling-truth\", 0], [\"and\", [\"or\", [\"tellin... | {"split": "train", "index": 11761} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Aiden, James, Daniel, and Ella. Lucas said that Ella is a knight and (Aiden is a knight or Aiden is a knave or Ella is a knight or Daniel is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 650, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"... | {"split": "train", "index": 11762} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Alexander, Grace, Benjamin, and Chloe. \"Alexander is a knave,\" Charlotte mentioned. Alexander remarked, \"(Chloe is a knave if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 651, \"statements\": [[\"lying\", 1], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 1],... | {"split": "train", "index": 11763} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Liam, Grace, Chloe, and Aiden. Michael said that it is not the case that (Liam is a knave and Grace is a knight and Michael is a knight). Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 652, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 4]], [\"t... | {"split": "train", "index": 11764} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Abigail, Elizabeth, David, Aiden, and Logan. In a statement by Abigail: \"Aiden is an egoist\". Elizabeth noted, \"if (Abigail is an altruist i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 653, \"statements\": [[\"lying\", 3], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]]], ... | {"split": "train", "index": 11765} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Avery, Aria, Sebastian, Ethan, and Jacob. Avery stated, \"(Aria is a villain or Jacob is a villain) or (Jacob is a villain)\". Aria expressed that (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 654, \"statements\": [[\"or\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"te... | {"split": "train", "index": 11766} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Emma, Evelyn, Lily, Daniel, and Harper. Emma told you that Daniel is a pioneer if and only if Daniel is a laggard. Evelyn expressed that (Emma ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 655, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4]], [\"lying\", 3], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"not\", [\"or\", [\"te... | {"split": "train", "index": 11767} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Elizabeth, Jack, Oliver, Aria, and Lucas. Elizabeth was heard saying, \"Jack is a saint\". Jack commented, \"if Oliver is a saint then (Lucas is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 656, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"lying\", 1]]], [\"not\", [\"and\", [\"t... | {"split": "train", "index": 11768} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Liam, Victoria, Avery, Lily, and Penelope. Liam told you that (Avery is a hero and Avery is a villain and Liam is a hero) and Penelope is a hero and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 657, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\",... | {"split": "train", "index": 11769} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Samuel, Evelyn, Isabella, Sofia, and Grace. As Samuel put it, \"(Grace is an altruist if and only if Sofia is an altruist) and (Samuel is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 658, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"telling-truth\", 3], [\"and\", [\"or\", [\"te... | {"split": "train", "index": 11770} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Lily, Evelyn, James, Elizabeth, and Amelia. Lily commented, \"(if Elizabeth is a devil then James is a devil) or (James is a devil) or (Evelyn is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 659, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 2]], [\"not\", [\"->\", [\"lyin... | {"split": "train", "index": 11771} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Olivia, Abigail, Alexander, Oliver, and Henry. Olivia commented, \"(Oliver is a hero if and only if Olivia is a hero) or Alexander is a hero or Abiga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 660, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\... | {"split": "train", "index": 11772} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: William, Emily, Evelyn, Oliver, and Abigail. William remarked, \"Oliver is a laggard\". In Emily's words: \"(if Evelyn is a pioneer then Oliver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 661, \"statements\": [[\"lying\", 3], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 0], [\"and\... | {"split": "train", "index": 11773} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Logan, Benjamin, Scarlett, Jack, and James. \"if (James is a sinner) then (Benjamin is a sinner and Benjamin is a saint),\" Logan claimed. Benjamin n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 662, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"lying\", 2]]], [\"not\", [\"->\", [\"telling-t... | {"split": "train", "index": 11774} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: David, Mia, Elizabeth, Henry, and Aurora. In a statement by David: \"(Aurora is an angel if and only if Mia is a devil) or (Mia is an angel or Aurora i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 663, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 1]]], [\"lying\", 4], [\"lying\", 1], [\"<=>\", [\"not\", [... | {"split": "train", "index": 11775} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aiden, Matthew, Liam, Penelope, and Luke. In Aiden's words: \"(Luke is an altruist if and only if Liam is an altruist) and (Liam is an egoist i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 664, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 4],... | {"split": "train", "index": 11776} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Benjamin, Sofia, Jacob, William, and Aurora. In a statement by Benjamin: \"Jacob is a pioneer\". Sofia said, \"(Sofia is a pioneer or Aurora is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 665, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 0], [\"telling-truth\", 4], [\"telling-truth\", 3]... | {"split": "train", "index": 11777} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Elizabeth, William, Joseph, Isabella, and Avery. Elizabeth asserted: \"it is not the case that (Avery is a sage)\". William was heard saying, \"(Elizabeth ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 666, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 4]], [\"->\"... | {"split": "train", "index": 11778} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Benjamin, Ella, David, Zoey, and William. Benjamin was heard saying, \"if Ella is a pioneer then (if Benjamin is a pioneer then Zoey is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 667, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"... | {"split": "train", "index": 11779} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sebastian, Amelia, Henry, Michael, and Aria. Sebastian remarked, \"Henry is a fool if and only if Sebastian is a sage\". Amelia noted, \"Michael is a sage\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 668, \"statements\": [[\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 3], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"telling-truth\", 0], [\... | {"split": "train", "index": 11780} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Evelyn, Aurora, Emma, Lucas, and William. \"Lucas is an angel,\" Evelyn claimed. Aurora said, \"(Aurora is an angel if and only if Lucas is a devil) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 669, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"lying\", 4], [\"... | {"split": "train", "index": 11781} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Emma, Harper, Sophia, Amelia, and Ethan. Emma told you that it is not the case that (Harper is a hero if and only if Harper is a villain). Harper was... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 670, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"telling-tr... | {"split": "train", "index": 11782} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Isabella, Luke, Jack, Charlotte, and Avery. Isabella said, \"(Avery is an egoist if and only if Jack is an egoist) and (if Luke is an altruist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 671, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"lying\", 4]], [\"or\", [\"not\", [\"tell... | {"split": "train", "index": 11783} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jack, James, Logan, Jackson, and Mason. \"it is not the case that (if James is a sage then Jackson is a sage),\" Jack claimed. James noted, \"(James is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 672, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>... | {"split": "train", "index": 11784} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Evelyn, Ava, Grace, and Riley. In Sofia's words: \"if (if Ava is a knave then Ava is a knight) then Riley is a knave\". Evelyn commented, \"if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 673, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"or\", [\"and\", [\"telling-truth... | {"split": "train", "index": 11785} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ethan, Isabella, Abigail, James, and Matthew. In Ethan's words: \"(Isabella is a pioneer and Ethan is a pioneer) and (Isabella is a laggard and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 674, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\",... | {"split": "train", "index": 11786} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Samuel, Grace, Michael, Noah, and Avery. According to Samuel, \"if (Avery is a hero and Noah is a villain and Michael is a villain) then (Noah is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 675, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"or\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]... | {"split": "train", "index": 11787} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Abigail, Sofia, Avery, Emily, and Penelope. In Abigail's words: \"it is not the case that (if Penelope is an altruist then Emily is an egoist)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 676, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 0], [... | {"split": "train", "index": 11788} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Lily, Ethan, Mia, Ava, and Isabella. Lily expressed that it is not the case that (Lily is a hero or Mia is a villain or Ava is a hero or Ava is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 677, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"not\", [\"or\",... | {"split": "train", "index": 11789} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Grace, Daniel, Sebastian, Ethan, and Lily. \"if (Daniel is an egoist or Ethan is an egoist or Lily is an altruist) then (Daniel is an egoist if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 678, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\"... | {"split": "train", "index": 11790} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Alexander, Owen, Noah, William, and Emma. Alexander told you that (Emma is a pioneer and William is a laggard and Alexander is a pioneer) or Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 679, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"and\", [... | {"split": "train", "index": 11791} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Lily, Benjamin, Samuel, Aurora, and James. Lily said that (Lily is an angel if and only if Samuel is a devil) if and only if (Samuel is a devil and Jam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 680, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]]... | {"split": "train", "index": 11792} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Jack, Zoey, Michael, and Liam. Ella asserted: \"(if Zoey is a knight then Zoey is a knave) or Jack is a knave\". \"(Liam is a knight if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 681, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"lying\", 1]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"lying\", 0]... | {"split": "train", "index": 11793} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Joseph, Henry, James, Riley, and Noah. According to Joseph, \"if (Riley is a villain and James is a hero) then (Riley is a hero and Noah is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 682, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"tell... | {"split": "train", "index": 11794} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ethan, Penelope, Lily, Aurora, and Liam. \"it is not the case that (Lily is an egoist and Aurora is an egoist),\" Ethan mentioned. Penelope com... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 683, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"tel... | {"split": "train", "index": 11795} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Luke, Chloe, Lily, Harper, and Riley. Luke noted, \"if (if Chloe is an altruist then Luke is an altruist) then (Lily is an egoist)\". Chloe sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 684, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling-tru... | {"split": "train", "index": 11796} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Samuel, Lucas, Scarlett, and Luke. Michael said, \"(Samuel is a knave or Lucas is a knight or Michael is a knight or Samuel is a knight) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 685, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\... | {"split": "train", "index": 11797} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ella, Alexander, Liam, Victoria, and Aurora. In Ella's words: \"it is not the case that (Victoria is a pioneer)\". \"Aurora is a pioneer,\" Ale... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 686, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"telling-truth\", 4], [\"lying\", 3], [\"and\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 3]... | {"split": "train", "index": 11798} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Zoey, Liam, Michael, Logan, and Elizabeth. Zoey expressed that Logan is a laggard and (Logan is a laggard if and only if Liam is a laggard). In... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 687, \"statements\": [[\"and\", [\"lying\", 3], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"lying\", 4], [\"<=>\"... | {"split": "train", "index": 11799} |
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